Search a number
-
+
230324024400 = 24352191936687
BaseRepresentation
bin1101011010000001100…
…0011011010001010000
3211000111200021201210020
43112200120123101100
512233200422240100
6253450455103440
722432433622261
oct3264030332120
9730450251706
10230324024400
11897529a8598
123877b071b80
1318947874192
14b20d594968
155ed07555a0
hex35a061b450

230324024400 has 60 divisors (see below), whose sum is σ = 737804628672. Its totient is φ = 61419739520.

The previous prime is 230324024263. The next prime is 230324024401. The reversal of 230324024400 is 4420423032.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230324024401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95967144 + ... + 95969543.

Almost surely, 2230324024400 is an apocalyptic number.

230324024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230324024400 is an abundant number, since it is smaller than the sum of its proper divisors (507480604272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230324024400 is a wasteful number, since it uses less digits than its factorization.

230324024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191936708 (or 191936697 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 230324024400 its reverse (4420423032), we get a palindrome (234744447432).

The spelling of 230324024400 in words is "two hundred thirty billion, three hundred twenty-four million, twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 191936687 383873374 575810061 767746748 959683435 1151620122 1535493496 1919366870 2303240244 2879050305 3070986992 3838733740 4606480488 4798417175 5758100610 7677467480 9212960976 9596834350 11516201220 14395251525 15354934960 19193668700 23032402440 28790503050 38387337400 46064804880 57581006100 76774674800 115162012200 230324024400